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Finding the Fourth Proportional to 10,645.74, 14,688.90 and 5,929.11

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Solution

The fourth proportional to 10,645.74, 14,688.90 and 5,929.11 is: 8,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.74 : 14,688.90 = 5,929.11 : x
  2. Step 2: Convert to fraction form
    10,645.74/14,688.90 = 5,929.11/x
  3. Step 3: Cross multiply
    10,645.74x = 14,688.90 × 5,929.11
  4. Step 4: Simplify right side
    10,645.74x = 87,092,103.88
  5. Step 5: Solve for x
    x = 87,092,103.88/10,645.74
  6. Step 6: Final answer
    x = 8,180.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.